Numerical bifurcation of a delayed diffusive hematopoiesis model with Dirichlet boundary condition-Reference-Cited by-同舟云学术

Numerical bifurcation of a delayed diffusive hematopoiesis model with Dirichlet boundary condition

Published:2024-02-02 Issue:1 Volume:76 Page:147-156
ISSN:1027-3190
Container-title:Ukrains’kyi Matematychnyi Zhurnal
language:
Short-container-title:Ukr. Mat. Zhurn.

Author:

Liu Xueyang,Wang Qi

Abstract

UDC 517.9 Numerical bifurcation of a delayed diffusive hematopoiesis model with Dirichlet boundary condition is studied by using a nonstandard finite-difference scheme. We prove that a series of numerical Neimark–Sacker bifurcations appear at the positive equilibrium as the time delay increases. At the same time, the parameter conditions for the existence of numerical Neimark–Sacker bifurcations at positive equilibrium point are presented. Finally, we use several examples to verify the accuracy of the results.

Publisher

SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

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